本文旨在探討對具有狀態飽和之串接系統之兩種追蹤器的設計方法。一種是權重切換之提升型數位再設計追蹤器，另一種是輸出－參照追蹤之數位再設計追蹤器。前者是以權重切換的提升型追蹤效能為目標，後者是以排除外在負載的影響為目標。因為各種不同的理由，必須對廠與廠之間的傳輸能量給予一個限制，這限制可以描述成對串接系統中的內部狀態給予一個界限。如果在設計控制器時忽略這個限制，將會對閉迴路系統產生非預期的影響，最嚴重時還可導致系統不穩定。使用權重切換法則可以降低此一限制的影響，因為它可以使系統盡快脫離飽和區。而提升型技巧與輸出－參照追蹤設計方法則分別使用在數位再設計控制器與排除外部負載的影響上。主要的控制器是以前述的方法與微處理器或數位訊號處理晶片的形式為基礎來實現。

This thesis addresses two tracker design methodologies for cascaded analog systems with the state-saturation constraint. One is the weighted switching lifted digitally redesigned tracker, the other is the output-reference tracking digitally redesigned tracker. The former is aimed to the lifted performance of the weighted switching, and the latter is aimed to remove the influence of external loads. For various reasons, the energy delivered from plant to plant in cascaded system is bounded. This can be described by a bound on the internal state amplitude of the cascaded system. If this limitation is omitted in the control design, unexpected phenomena can affect the closed-looped system, and the closed-loop system can become unstable in the worst case. The effect of this constraint can be abated by using the weighted switching strategy that it makes system out of saturation region as soon as possible. The lifted technique and the output-reference tracking scheme are used to increase the performance of the digital redesigned controller and to remove the influence of external loads, respectively. The main realizations of controllers are based on
above-mentioned methodologies and to associate with the digital implementation of microprocessors and digital signal processing chips.

[1] Anderson, B.D.O., and J. B. Moore, Optimal Control Linear Quadratic Methods,
Englewood Cliffs, New Jersey: Prentice Hall, pp. 139-143, 1989.
[2] Chen, T. and B. A. Francis, Optimal Sampled-Data Control Systems, New York:
Spring-Verlag, 1995.
[3] Durham, W., “Constrained control allocation”, Journal of Guidance, Control, and Dynamics, vol. 16, no. 4, pp. 717-725, 1993.
[4] Etkin, B., Dynamics of Atmosphere Flight, Wiley, New York, 1972.
[5] Fujimoto, H., A. Kawamura and M. Tomizuka, “Generalized digital redesign method for linear feedback system based on n-delay control,” IEEE/ASME Transactions on
Mechaton, vol. 4, pp. 101-109, June 1999.
[6] Fujimoto, H., J. Hori and A. Kawamura, “Perfect tracking control based on multi-rate feedback control with generalized sampling periods,” IEEE Transactions on Industrial Electronics, vol. 48, no. 3, pp. 636-644, 2001.
[7] Goodwin, G. C., S. F. Graebe and M. E. Salgado, Control System Design, Prentice Hall, New Jersey, 2001.
[8] Graham, D. and D. McRuer, “Retrospective essay on nonlinearities in aircraft fight control”, Journal of Guidance, Control, and Dynamics, vol. 14, no. 6, pp. 1089-1098, 1991.
[9] Guo, S. M., L. S. Shieh, G. Chen and C. F. Lin, “Effective chaotic orbit tracker: a prediction-based digital redesign approach,” IEEE Transactions on Circuits and Systems – I, Fundamental Theory and Applications, vol. 47, no. 11, pp. 1557-1570, 2000.
[10] Hedrick, J. K., A Note on Using Error Coordinate as State Variables, Lecture Notes, M.I.T., 1978.
[11] Ieko, T., Y. Ochi and K. Kanai, “Digital redesign of linear state-feedback law via principle of equivalent areas,” Journal of Guidance, Control, and Dynamics, vol. 24, pp. 857-859, 2001.
[12] Krikelis, N. J. and S. K. Barkas, “Design of tracking systems subject to actuator saturation and integrator windup”, International Journal of Control, vol. 39, no. 4, pp. 667-682, 1984.
[13] Lewis, F. L. and V. L. Syrmos, Optimal Control, 2nd edition, New York, Wiley, 1995.
[14] Rafee, N., T. Chen and O. P. Malik, “A technique for optimal digital redesign of analog controllers,” IEEE Transactions on Control Systems Technology, vol. 5, no. 1, pp. 89-99, 1997.
[15] Shieh, L. S., G. Chen and J. S. H. Tsai, “Hybrid suboptimal control of multi-rate multi-loop sampled-data systems”, International Journal of Systems and Science, vol. 23, pp. 839-854, 1992.
[16] Shieh, L. S., H. M. Dib and S. Ganesan, “Continuous-time quadratic regulators and pseudo-continuous-time quadratic regulators with pole placement in a specific region.” IEE Proceedings, vol. 134, Pt. D, no. 5, pp. 338-346, 1987.
[17] Shieh, L. S., J. L. Zhang and N. P. Coleman, “Optimal digital redesign of
continuous-time controllers”, Computer Mathematics and Applications, vol. 22, pp. 23-25, 1991.